- Mar 1 Leo Brouwer, Cuban composer, conductor and musician, born in Havana
- Mar 1 Warren Davis, American doo-wop singer (The Monotones - "The Book of Love"), born in Newark, New Jersey (d. 2016)
- Mar 2 Gerard van Tongeren, Dutch pop guitarist and singer (The Buffoons - "Tomorrow Is Another Day; "It's The End"), born in Enschede, Netherlands
- Mar 5 Norman Seeff, South African-American photographer, filmmaker, and album cover artist (Joni Mitchell; Captain & Tenille; Fleetwood Mac), born in Johannesburg, South Africa
- Mar 6 Jerry Naylor, American country music and rock vocalist (Crickets), born in Stephenville, Texas (d. 2019)
- Mar 7 Marion Marlowe, American singer ("The Man in the Raincoat"; Arthur Godfrey & His Friends), and actress, born in St Louis, Missouri (d. 2012)
- Mar 8 Lynn Seymour [Berta Lynn Springbett], Canadian-English ballerina (Royal Ballet, 1962-78), choreographer, and director, born in Wainwright, Alberta (d. 2023)
- Mar 8 Robert Tear, Welsh tenor (Welsh National Opera, 1970), born in Barry, Wales
- Mar 8 Yannis Vlachopoulos, Greek composer (Morphes), born in Piraeus, Greece
- Mar 11 (Leonardo) "Flaco" Jiménez, American Grammy Lifetime Achievement Award-winning Tex-Mex and conjunto accordionist (Texas Tornados), born in San Antonio, Texas [1]
- Mar 13 Neil Sedaka, American singer and songwriter ("Breaking Up is Hard to Do"; "Love Will Keep Us Together"), born in Brooklyn, New York
- Mar 14 Stavros Xarhakos, Greek composer and conductor, born in Athens, Greece
- Mar 18 Giannis Markopoulos, Greek composer (Zavara-Katra-Nemia; 24 Dances), born in Heraklion, Crete (d. 2023)
- Mar 23 Boris Tischenko, Russian-Soviet pianist and composer, born in Leningrad, USSR (now Saint Petersburg, Russia (d. 2010)
- Mar 24 [Lilian] Lynda Baron, British actress, comedian, and singer (Open All Hours - "Nurse Gladys"; Come Inside - "Auntie Mabel"), born in Urmston, Lancashire, England
- Mar 27 Bo Winberg, Swedish instrumental rock guitarist (The Spotnicks - "Hava Nagila"; "Amapola"; "Karelia"), born in Gothenburg, Sweden (d. 2020)
- Mar 28 Roy Cicala, American sound engineer (Record Plant Studios (NYC) - Jimi Hendrix; John Lennon; Frank Sinatra), born in New Haven, Connecticut (d. 2014)
About March 1939
How Old? 85 years old
Generation: Silent Generation
Leap Year: No